Answer:
The correct equation is actually: y=10x+10.
Jaiden calculated the slope of the line incorrectly, as the y-axis increases by 10, not 2. The correct slope of the line is 20/2, which is equal to 10.
Hope this helps!
An ice cream store sells 2 drinks, in 4 sizes, and 5 flavors. In how many ways can a customer order a drink?
The ways in which a customer can order a drink is 40.
What is combination?A combination is a mathematical method that determines the number of potential arrangements in a set of objects in which the order of the selection is irrelevant.
You can choose the components in any order in combinations. Permutations and combinations are often mistaken.
Now, according to the question;
There are 2 types of drinks available,
The size of drinks are available in 4 ways.
The number of flavours available are 5.
Thus, the number of ways for selecting the drink are-
Number of ways = Number of drinks × Sizes of drinks × Drinks Flavours
Substitute the given values;
Number of ways = 2× 4×5
Number of ways = 40 ways.
Therefore, the number of ways a customer order a drink is 40 ways.
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The homecoming game is next week, and the students want to hang banners around the school. The students want to put up 110 banners. The banners come in packs of 40. How many packs will the students need to buy?
Answer:
3
Step-by-step explanation:
2.75 however it needs to be rounded to an integer making it 3 packets :)
Part E
Use your work from parts B through D to find an approximate value for the constant of proportionality, k, in the solar system. Round the answer and write it in scientific notation. Why might scientists find this value useful? (Consult the math review if you need help with scientific notation.)
This is from edmentum.
Answer:
sample answer for edmentum
Step-by-step explanation:
-3/2 - 7/4 + 1/8 please help adding with mixed numbers
Answer:
-3 ⅛
Step-by-step explanation:
11. the area of a rectangle is given by the relation a = 8x2 + 18x + 7.
determine expressions for the possible dimensions
of this rectangle.
3
b)) determine the dimensions and area of this rectangle if x = 3 cm.
The dimensions of the rectangle are 7cm by 19cm and the area of the rectangle is 133cm².
The area of a rectangle can be determined using the expression a = 8x² + 18x + 7, where a is the area of the rectangle and x is a dimension of the rectangle.
Therefore, we must factorise the above expression as follows in order to determine the expressions for the potential dimensions of the rectangle;a = 8x² + 18x + 7a = 8x² + 14x + 4x + 7a = 2x(4x + 7) + 1(4x + 7)a = (2x + 1)(4x + 7).
Therefore, the possible dimensions of the rectangle are (2x + 1) and (4x + 7).If x = 3cm, the dimensions and area of the rectangle can be determined as follows;Dimensions of the rectangle;l = 2x + 1 = 2(3) + 1 = 6 + 1 = 7cmw = 4x + 7 = 4(3) + 7 = 12 + 7 = 19cm.
Area of the rectangle;a = lw = 7 × 19 = 133cm².Therefore, the dimensions of the rectangle are 7cm by 19cm and the area of the rectangle is 133cm².
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2. Solve the following difference equations: (a) \( x_{t+1}=\frac{1}{2} x_{t}+3 \) (b) \( x_{t+1}=-3 x_{t}+4 \)
(a) ( x_{t+1}=\frac{1}{2} x_{t}+3 ), the solution to this difference equation is x_t = 2^t + 3, The difference equations in this problem are both linear difference equations with constant coefficients.
This can be found by solving the equation recursively. For example, the first few terms of the solution are
t | x_t
--- | ---
0 | 3
1 | 7
2 | 15
3 | 31
The general term of the solution can be found by noting that
x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3
(b) ( x_{t+1}=-3 x_{t}+4 )
The solution to this difference equation is
x_t = 4 \cdot \left( \frac{1}{3} \right)^t + 4
This can be found by solving the equation recursively. For example, the first few terms of the solution are
t | x_t
--- | ---
0 | 4
1 | 5
2 | 2
3 | 1
The general term of the solution can be found by noting that
x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4
The difference equations in this problem are both linear difference equations with constant coefficients. This means that they can be solved using a technique called back substitution.
Back substitution involves solving the equation recursively, starting with the last term and working backwards to the first term.
In the first problem, the equation can be solved recursively as follows:
x_{t+1} = \frac{1}{2} x_t + 3
x_t = \frac{1}{2} x_{t-1} + 3
x_{t-1} = \frac{1}{2} x_{t-2} + 3
...
x_0 = \frac{1}{2} x_{-1} + 3
The general term of the solution can be found by noting that
x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3
The second problem can be solved recursively as follows:
x_{t+1} = -3 x_t + 4
x_t = -3 x_{t-1} + 4
x_{t-1} = -3 x_{t-2} + 4
...
x_0 = -3 x_{-1} + 4
The general term of the solution can be found by noting that
x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4
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HELP! Can someone please explain to me how to solve this question?
"At what point do the equations intersect? y = 25x + 54 and y = 15x + 14
Answer:
\((-3.1, -32.5)\)
Step-by-step explanation:
Set the equations equal to each other: 25x+45=15x+14
Solve for x: 10x = -31
Solve for x: x=-3.1
Plug the x value back into one of the equations to find the value of y:
y = 15 (-3.1) +14
y = -32.5
Answer:
7,68
Step-by-step explanation:
y=2x+54
y=15x+14
you can do elimination so you need to multiply the x's by -15 and 2
y=-30x+54
y=30x+15
the x's are canceled out and you add the remaining
y=54. y=68
y=15
To find x you makes an equation of one of the equations given
68=2x+54
14=2x
7=x
You are going on vacation with your family to the beach. You already spent $160
on groceries for the week, and you know that each time you eat out you will spend another $40
.
Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.
For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.
To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.
Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:
Total spent on eating out = $40 * x
Adding this to the amount spent on groceries, the total vacation budget can be calculated as:
Total budget = Amount spent on groceries + Total spent on eating out
Total budget = $160 + ($40 * x)
For example, if you plan to eat out 3 times during the week, the calculation would be:
Total budget = $160 + ($40 * 3)
Total budget = $160 + $120
Total budget = $280
In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.
The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.
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a bowl of soup was brought into a room. the soup’s temperature was initially 120 degrees. after 10 minutes, its temperature was 105 degrees. after another 10 minutes, its temperature was 95 degrees.
The temperature of the room we get by using Newton’s Law of Cooling is 75 degrees.
Given that the temperature of the soup was initially 120 degrees. Its temperature was 105 degrees after 10 minutes. It reached a temperature of 95 degrees after an additional ten minutes.
We need to estimate the temperature of the room.
According to the Newton's law of cooling temperature T(t) after time t is given by:
\(\mathrm{T(t) = T_s + (T_0 - T_s)e^{kt}}\)
Where,
\(\mathrm{T_0}\) = initial temperature [120 degree]
\(\mathrm{T_s}\) = surrounding temperature
k = constant
Plugging the values;
\(105 = \mathrm{T_s + (120 - T_s)e^{10k}}}\)
\(\mathrm{e^{10k}} = \mathrm{\frac{105 - T_s}{120 - T_s} }\)
Similarly,
\(95 = \mathrm{T_s + (105 - T_s)e^{10k}}}\)
\(\mathrm{e^{10k}} = \mathrm{\frac{95 - T_s}{105 - T_s} }\)
Equating the equations,
\(\mathrm{\frac{95 - T_s}{105 - T_s} } = \mathrm{\frac{105 - T_s}{120 - T_s} }\)
Solving the equations,
\(\mathrm{\frac{225-2T_s}{-15} } = \mathrm{\frac{200-2T_s}{-10} }\)
Multiplying by -30,
\(\mathrm{2(225-2T_s)} = \mathrm{2(200-2T_s)}\)
\(\mathrm{2T_s = 150}\)
\(\mathrm{T_s = 75}\)
Hence the temperature of the room was 75 degrees.
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find the volume of the compound shape.
\(v = \frac{2}{3} \pi {r}^{3} \)
\(v = \frac{2}{3} \times \pi \times {3}^{3} \)
\(v = 56.55 \: {cm}^{3} \)
Volume of the cone:\(v = \frac{1}{3} \pi {r}^{2} h\)
\(v = \frac{1}{3} \times \pi \times {3}^{2} \times 10\)
\(v = 94.25 \: {cm}^{3} \)
Total volume:\(v = 56.55 + 94.25\)
\(v = 150.80 \: {cm}^{3} \)
Therefore, the volume of the compound shape is 150.80 cubic centimeters.
half of a sphere:
=56.55 cm^3
cone:
=94.25 cm^3
all together:
150.80 cm^3
What is the total number
Answer:
What is the total number
Step-by-step explanation:
The telephone company offers two billing plans for local calls. Plan 1 charges $34 per month for unlimited calls and Plan 2 charges $13 per month plus $0.04 per call. a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2. b. Explain the meaning of the answer to part a.
Answer:
32
Step-by-step explanation:
im not sure but i think its that
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?
Answer:
5/7 is the answer to your question
PLEASE HELP ASAP!!!!!
Answer:
Factored completely is: 3x^2 (x+3)(x-2)
according to your question - probs (x-2), no other choice
Step-by-step explanation:
have fun friend & have a good day friend :)
21
Select the correct answer from the drop-down menu.
2.36 radians E
1.18 radians
B
IF AD= AB
. the ratio of the length of BC to the length of DE is
Reset
Next
Answer:
the answer should be 3/4
The ratio of the length of arc BC to length of arc DE is calculated as: 1/2.
What is the Length of an Arc?Length of an arc = ∅r, where r is radius, and ∅ is angle measure in radians.
AD = 2/3AB
Length of DE:
∅ = 1.18 + 2.36 = 3.54 radians
r = 2/3AB
Length of arc DE = (3.54)(2/3AB) = 2.36(AB)
Length of BC:
∅ = 1.18 radians
r = AB
Length of arc BC = (1.18)(AB) = 1.18(AB)
Ratio of the length of BC to DE = 1.18(AB) / 2.36(AB) = 1.18/2.36 = 1/2
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A research paper claims a meaningful contribution to the literature based on finding statistically significant relationships between predictor and response variables. In the footnotes, you see the following statement, "given this research was exploratory in nature, traditional levels of significance to reject the null hypotheses were relaxed to the .10 level."
critically evaluate this footnote.
what response to provide to the authors about this footnote?
The footnote in the research paper states that the traditional levels of significance to reject the null hypotheses were relaxed to the 0.10 level because the research was exploratory in nature. This statement suggests that the researchers intentionally chose a higher level of significance in their statistical analysis.
In response to this footnote, you could provide the authors with the following feedback:
1. Acknowledge the exploratory nature of the research: Begin by recognizing that the authors mentioned the exploratory nature of their study in the footnote. This indicates that they were conducting preliminary investigations or searching for patterns and relationships without any preconceived hypotheses.
2. Explain the concept of statistical significance: Provide a brief explanation of statistical significance, which refers to the probability that the observed relationship between variables is not due to chance. Emphasize that traditionally, a significance level of 0.05 is commonly used to determine whether the relationship is statistically significant.
3. Discuss the rationale for relaxing the significance level: Address the authors' decision to relax the significance level to 0.10. Explain that by doing so, they are allowing for a higher chance of finding statistically significant relationships between the predictor and response variables. This decision may be justified in exploratory research, as it allows for a more liberal approach to hypothesis testing.
4. Highlight the implications of relaxed significance levels: Explain that relaxing the significance level increases the likelihood of finding statistically significant results, even if the true relationships are weak or non-existent. This could lead to an increased risk of Type I errors, where a relationship is detected when there isn't one. It is important to note that relaxed significance levels may generate preliminary findings that require further validation.
5. Suggest additional analysis or caution: Finally, recommend that the authors interpret their findings with caution and consider conducting further research to validate their results. Additionally, they may want to include sensitivity analyses to understand the impact of different significance levels on their conclusions. Encourage them to discuss the potential limitations and implications of their decision to relax the significance level in the paper.
Remember to maintain a respectful and informative tone throughout your response. By providing this feedback, you are helping the authors understand the implications of their choice to relax the significance level and encouraging them to critically evaluate their findings.
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Proof of Laws Consider sets A and B, and: 1. Prove the absorption law A U (AnB) = A by universal generalization (applied twice). 2. Prove the associative law An (BnC) = (A n B) n C by membership table.
1.) Proving the absorption law A U (AnB) = A by universal generalization (applied twice).
2.) Proving the associative law An (BnC) = (A n B) n C by membership table.
1.) Let x be an element in An (BnC).
By universal generalization, x is in A or x is in (AnB).
If x is in A, then x is in A U (AnB) by definition of union.
If x is in (AnB), then x is in A and x is in B by definition of intersection.
Since x is in A, x is in A U (AnB) by definition of union.
Therefore, x is in A U (AnB) if and only if x is in A.
By universal generalization, A U (AnB) = A.
2.) Prove the associative law An (BnC) = (A n B) n C by membership table.
Let x be an element in An (BnC).
By definition of intersection, x is in A and x is in (BnC).
By definition of intersection, x is in B and x is in C.
Therefore, x is in A and x is in B and x is in C.
By definition of intersection, x is in (A n B) and x is in C.
By definition of intersection, x is in (A n B) n C.
Therefore, x is in An (BnC) if and only if x is in (A n B) n C.
By membership table, An (BnC) = (A n B) n C.
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Need help with this ????
hi! theres no actual answer because i'm dong a challenge where i have to answer 5 questions today so im sorry if you expecting and answer. :(
two boys move simultaneously towards each other from two objects located at a distance of 7.5km. The speed of one is as much as 2/3 of the speed of the other. Find the speeds of each if they meet after 1.5 hours
please I need HELP!!!
Answer:
the answer is 0.77 yes that is the answer
Answer:
C. 0.64
Step-by-step explanation:
the answer is on the picture
What is the slope of the line?
(Khan Academy)
Answer:
1/3 seria el resultado
find the missing number that will make the statement true
¾ + 4y ÷ 3; y = 1 ½
Plz help step by step
Find the product of 1/2 * 3 1/4 * 1 1/2.
Please help I'm not really good at these.
Answer:
2 7/16
Step-by-step explanation:
1/2*13/4=13/8
13/8*3/2=39/16
39/16=2 7/16
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
G python By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the 10 001st prime number
Python for By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. the 10001st prime number is 104729
div = 10001
i = 2
count = 0
prime = 0
now = [ ]
while count < div:
for x in range (2,i+1):
if len(now) ==2:
break
elif i%x == 0:
now.append(x)
if len(now)==1:
prime = i
count += 1
now = []
i+=1
print(prime)
Python is a high- position, general- purpose programming language. Its design gospel emphasizes law readability with the use of significant indentation. Python is stoutly compartmented and scrap- collected. It supports multiple programming paradigms, including structured, object- acquainted and functional programming.
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8. When astronauts Antoine Weber and Rachel Sun landed on the
hypothetical planet Trifour they found the inhabitants had either 3 or 4
extremities. Weber could not look at the inhabitants' faces so he just
counted their extremities. Hecounted 173 extremities. Sun, on the
other hand, could not look at their extremities so she just counted faces.
She counted 51 faces. How many inhabitants had 3 extremities? How
many were there that had 4 extremities?
There were 80 inhabitants that had 4 extremities, and 93 that had 3 extremities.
Given that, when astronauts Antoine Weber and Rachel Sun landed on the hypothetical planet Trifour they found the inhabitants had either 3 or 4 extremities, and Weber could not look at the inhabitants' faces so he just counted their extremities, and he counted 173 extremities, while Sun, on the other hand, could not look at their extremities so she just counted faces, and she counted 51 faces, to determine ow many inhabitants had 3 extremities and how many were there that had 4 extremities, the following calculation has to be done:
51 x 4 + 0 x 3 = 204204 - 173 = 3120 x 4 + 31 x 3 = X80 + 93 = X173 = XTherefore, there were 80 inhabitants that had 4 extremities, and 93 that had 3 extremities.
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Ann picked 29 apples. She took a apples to school. Then, she took 13 apples to soccer practice. Now, she has 8 apples left. How many apples did Ann take to school?
Which equation could be used to solve the question below?
A.
29 − a + 13 = 8
B.
29 + a − 13 = 8
C.
29 − a − 13 = 8
D.
29 + a + 13 = 8
Answer:
C
Step-by-step explanation:
Because each time she kept taking away apples
Answer: A
The total apples minus the apples she took to school + the apples she took to school, youre looking for the apples she took to school not how many she has left
he cardinality of a finite set is the number of elements in the set. What is the cardinality of set A
The cardinality of the set A is 4
How to determine the cardinality of set AFrom the question, we have the following parameters that can be used in our computation:
A = {2, 4, 6, 8}
In the above, we can see that
There are 4 elements in the set
By the definition of cardinality, we have the cardinality of set A to be 4
Hence, the cardinality of set A is 4
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Question
The cardinality of a finite set is the number of elements in the set. What is the cardinality of set A
A = {2, 4, 6, 8}
Can someone help me solve these or explain it to me?